Learning fuzzy measures for aggregation in fuzzy rule-based models

Comunicación presentada al 15th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2018 (15 - 18 october 2018).Fuzzy measures are used to express background knowledge of the information sources. In fuzzy rule-based models, the rule confidence gives an important information about the final classes and their relevance. This work proposes to use fuzzy measures and integrals to combine rules confidences when making a decision. A Sugeno $$\lambda $$ -measure and a distorted probability have been used in this process. A clinical decision support system (CDSS) has been built by applying this approach to a medical dataset. Then we use our system to estimate the risk of developing diabetic retinopathy. We show performance results comparing our system with others in the literature.This work is supported by the URV grant 2017PFR-URV-B2-60, and by the Spanish research projects no: PI12/01535 and PI15/01150 for (Instituto de Salud Carlos III and FEDER funds). Mr. Saleh has a Pre-doctoral grant (FI 2017) provided by the Catalan government and an Erasmus+ travel grant by URV. Prof. Bustince acknowledges the support of Spanish project TIN2016-77356-P

On generalized rough fuzzy approximation operators

Abstract. This paper presents a general framework for the study of rough fuzzy sets in which fuzzy sets are approximated in a crisp approximation space. By the constructive approach, a pair of lower and upper generalized rough fuzzy approximation operators is first defined. The rough fuzzy approximation operators are represented by a class of generalized crisp approximation operators. Properties of rough fuzzy approximation operators are then discussed. The relationships between crisp relations and rough fuzzy approximation operators are further established. By the axiomatic approach, various classes of rough fuzzy approximation operators are characterized by different sets of axioms. The axiom sets of rough fuzzy approximation operators guarantee the existence of certain types of crisp relations producing the same operators. The relationship between a fuzzy topological space and rough fuzzy approximation operators is further established. The connections between rough fuzzy sets and Dempster-Shafer theory of evidence are also examined. Finally multi-step rough fuzzy approximations within the framework of neighborhood systems are analyzed